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426880 = 2752329
BaseRepresentation
bin1101000001110000000
3210200120101
41220032000
5102130010
613052144
73425356
oct1501600
9720511
10426880
112717a3
12187054
1311c3bc
14b17d6
158673a
hex68380

426880 has 64 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 157696.

The previous prime is 426871. The next prime is 426889. The reversal of 426880 is 88624.

It is an interprime number because it is at equal distance from previous prime (426871) and next prime (426889).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×4268803 = 233366589014016000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14706 + ... + 14734.

2426880 is an apocalyptic number.

426880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

426880 is an abundant number, since it is smaller than the sum of its proper divisors (674720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426880 is a wasteful number, since it uses less digits than its factorization.

426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 426880 is about 653.3605436511. The cubic root of 426880 is about 75.2954273669.

The spelling of 426880 in words is "four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 290 320 368 460 464 580 640 667 736 920 928 1160 1334 1472 1840 1856 2320 2668 2944 3335 3680 3712 4640 5336 6670 7360 9280 10672 13340 14720 18560 21344 26680 42688 53360 85376 106720 213440 426880